**Part 1**

1) We have the function machine below.

Form an equation for the output of the function in terms of the input (use x as your input and y as your output).

2) We have the function machine below.

2) We have the function machine below.

Form an equation for the output of the function in terms of the input (use x as your input and y as your output).

3) We have the function machine below.

3) We have the function machine below.

Form an equation for the output of the function in terms of the input (use x as your input and y as your output).

4) We have the function machine below.

4) We have the function machine below.

Form an equation for the output of the function in terms of the input (use x as your input and y as your output).

**Part 2**

1) We have the function machine below.

a) Form an equation for the output of the function in terms of the input (use x as your input and y as your output).

b) For a certain input, the output of the function is the same as the input of the function.

Find the value of the input.

2) We have the function machine below.

b) For a certain input, the output of the function is the same as the input of the function.

Find the value of the input.

2) We have the function machine below.

a) Form an equation for the output of the function in terms of the input (use x as your input and y as your output).

b) For a certain input, the output of the function is the same as the input of the function.

Find the value of the input.

3) We have the function machine below.

b) For a certain input, the output of the function is the same as the input of the function.

Find the value of the input.

3) We have the function machine below.

a) Form an equation for the output of the function in terms of the input (use x as your input and y as your output).

b) For a certain input, the output of the function is the same as the input of the function.

Find the value of the input.

4) We have the function machine below.

b) For a certain input, the output of the function is the same as the input of the function.

Find the value of the input.

4) We have the function machine below.

For a certain input, the output of the function machine is 4 times the input.

Find the value of the input.

5) We have the function machine below.

Find the value of the input.

5) We have the function machine below.

For a certain input, the output of the function machine is double the input.

Find the value of the input.

Find the value of the input.